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Finding the Third Proportional to 73,444 and 158,552

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Solution

The third proportional to 73,444 and 158,552 is: 342,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,444 : 158,552 = 158,552 : x
  2. Step 2: Convert to fraction form
    73,444/158,552 = 158,552/x
  3. Step 3: Cross multiply
    73,444x = 158,552 × 158,552
  4. Step 4: Simplify right side
    73,444x = 25,138,736,704
  5. Step 5: Solve for x
    x = 25,138,736,704/73,444
  6. Step 6: Final answer
    x = 342,284.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.